What are the solutions to the equation 2=3x^5+x-2 ?

The solutions to the equation 2=3x^5+x-2 are x=1

Find the zeros of 2=3x^5+x-2

The zeros of 2=3x^5+x-2 are x=1

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2 = 3 x^{5} + x - 2

x = 1

Solution steps

2 = 3 x^{5} + x - 2

Switch sides

3 x^{5} + x - 2 = 2

Move

2

to the left side

3 x^{5} + x - 4 = 0

Factor

3 x^{5} + x - 4 : (x - 1) (3 x^{4} + 3 x^{3} + 3 x^{2} + 3 x + 4)

(x - 1) (3 x^{4} + 3 x^{3} + 3 x^{2} + 3 x + 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or 3 x^{4} + 3 x^{3} + 3 x^{2} + 3 x + 4 = 0

Solve

x - 1 = 0 : x = 1

Solve

3 x^{4} + 3 x^{3} + 3 x^{2} + 3 x + 4 = 0 :

No Solution for

x \in R

The solution is

x = 1

4 x^{3} - 48 x = 0

10 x^{3} - 1000 x = 0

(y^{2} - 1)^{2} + 3 (y^{2} - 1) - 18 = 0

m^{4} - 10 m^{2} + 25 = 0

- 12 = 6 a^{6} a

What are the solutions to the equation 2=3x^5+x-2 ?
The solutions to the equation 2=3x^5+x-2 are x=1
Find the zeros of 2=3x^5+x-2
The zeros of 2=3x^5+x-2 are x=1